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Mathematics 8 Online
OpenStudy (anonymous):

Anyone good with large derivatives and want to help out?

OpenStudy (anonymous):

try me

OpenStudy (anonymous):

ok, the derivative is Mo*V/C^2(1-(v^2/c^2))^3/2 where Mo=mass of object at rest, c=speed of light and v=speed

OpenStudy (anonymous):

V IS CONSTANT ?

OpenStudy (anonymous):

no v is the variable for speed, it's the only non constant

OpenStudy (anonymous):

I wish I could represent this better, but I can't use the equation editor worth a darn, is there any other complications you see with my equations?

OpenStudy (anonymous):

what value do they want you to use for speed of light, or are they having you solve the function in terms of speed of light as a constant C?

OpenStudy (anonymous):

just solve with c, I need to find the derivative of the equation above...

OpenStudy (anonymous):

so far I see you use the product rule for the numerator.....the product rule for the denominator, followed by the chain rule then the quotient rule....then quotient rule for the whole thing

OpenStudy (anonymous):

that is exactly what you do

OpenStudy (anonymous):

yup...Im having trouble with simple algebra of fixing the variables up at the end

OpenStudy (anonymous):

I can post the last step that I am sure of

OpenStudy (anonymous):

MV squared over C use product rule, thenv squared over c squared product rule... yeah do that

OpenStudy (anonymous):

i keep tripping myself up on the variables, funny i can solve one of these big guys when its full of decimals and garbage but simple variables trip me up haha

OpenStudy (anonymous):

ok here's what I got..... {[C^2(1-(v^2/c^2))^3/2]+[3MoV(1-(v^2/c^2))^1/2]}/ (C^2(1-(v^2/c^2))^3/2)^3

OpenStudy (anonymous):

haha, if that isn't clear let me know...it's the [C^2...+ 3MoV...] divided by the C^2...

OpenStudy (anonymous):

the variables trip me up too man

OpenStudy (anonymous):

ok I'm just going to throw out small parts of it that I'm unsure of

OpenStudy (anonymous):

is (C^2(1-(v^2/c^2))^3/2)^3 the same as C^4*(1-(v^2/c^2)^3?

OpenStudy (anonymous):

im pretty sure those are not the same, no

OpenStudy (anonymous):

right sorry I meant (C^2(1-(v^2/c^2))^3/2)^3 the same as C^4*(1-(v^2/c^2)^2...last number should have been a 2

OpenStudy (anonymous):

where are you getting C to the 4th up front from?

OpenStudy (anonymous):

(C^2)^2....that last ^2 applies to both in the denominator doesnt it?

OpenStudy (anonymous):

which last ^2 are you talking about? theres a ^3 at the end and the v squared over c squared is in parenthesis so im not sure what your saying (text based math formulas suck)

OpenStudy (anonymous):

yeah it does, I'm going to give up on this one for now, thanks for the help tho

OpenStudy (anonymous):

sorry i couldnt help more, ill give it a try again after i make some food

OpenStudy (anonymous):

you deriave with respect to what v ?

OpenStudy (anonymous):

yes, v is independent, m(v) is dependent

OpenStudy (anonymous):

if my equation confuses you, it's already the derivative of Einstein's equation m(v) mass of a moving particle, now we have to derive it again

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